Final answer:
To create a histogram, first determine the range of the data. Next, decide on the number of intervals or bins. Calculate the width of each interval by dividing the range by the number of intervals. Create the intervals and count the number of data points in each interval. Finally, plot the data on the histogram with the intervals on the x-axis and the frequency on the y-axis.
Step-by-step explanation:
A histogram is a graphical representation of data that displays the frequencies of different intervals or bins. To create a histogram, follow these steps:
- Determine the range of the data. In this case, the range is from 5 to 23, so the data spans a range of 19.
- Decide on the number of intervals or bins. In this case, you can choose 5-6 intervals.
- Calculate the width of each interval by dividing the range by the number of intervals. In this case, the interval width is approximately 19/6 = 3.16.
- Create the intervals by starting with the minimum value of 5 and incrementing by the interval width until you reach the maximum value of 23.
- Count the number of data points that fall into each interval. In this case, you would count how many numbers are between the lower and upper bounds of each interval.
- Plot the data on the histogram by representing each interval as a bar, with the height corresponding to the count of data points in that interval.
- Label the x-axis with the intervals and the y-axis with the frequency or count of data points.